Using the per-revision bisect providing the bisect results,
Good build:61.0.3130.0(Revision:479232).
Bad build:61.0.3131.0(Revision:479564).

You are probably looking for a change made after 479352 (known good), but no later than 479353 (first known bad).

CHANGE-LOG URL:
---------------
https://chromium.googlesource.com/chromium/src/+log/0923b5913aa087a0ffd8695a49aae2931e0e5c56..37ee286af065385f62db869e5579de96da1634c0

From the CL above, assigning the issue to the concern owner

@drott: Could you please look into the issue, pardon me if it has nothing to do with your changes and if possible please assign it to concern owner.

Reviewed-on:https://chromium-review.googlesource.com/535535
Note :Able to reproduce the issue in Win 10.0,Ubuntu 14.04 & Mac 10.12.3 and Able to reproduce in latest Canary #61.0.3138.0
Adding Release Block-Stable for this issue.Please remove if not the case.

Could you explain how this this bisect was created? My refactoring CL 37ee286af06538 has practically no functional change, and I don't think it could affect the profile management UI in the way you're describing using these videos.

As per comment #2&3 Re-bisected using the per-revision bisect providing the bisect results,
Good build:61.0.3130.0(Revision:479232).
Bad build:61.0.3131.0(Revision:479564).

You are probably looking for a change made after 479335 (known good), but no later than 479336 (first known bad).

CHANGE-LOG URL:
---------------
https://chromium.googlesource.com/chromium/src/+log/93d013d8cd6a86cc366aa46ccf2f1f51361e159b..17645964f33b591deea14589845132be05e8ad9f

From the CL above, assigning the issue to the concern owner

@dullweber: Could you please look into the issue, pardon me if it has nothing to do with your changes and if possible please assign it to concern owner.

Reviewed-on: https://codereview.chromium.org/2915053002

Thanks for reporting this, I will look into it. 
I changed how the values are loaded and it seems weird that you are getting the "This will permanently delete your browsing data" text instead of the counters from expected_video.

The "This will permanently delete your browsing data" text will only be shown if there are zero items to delete. This can happen with a fresh profile or after clearing browsing data. 
As soon as there is at least one item, the counters will be shown and there is no flickering. We could easily solve this by showing the counters for all zero values as well. 

Alternatively we would have to delay the dialog for a short moment or until at least one non-zero counter has finished.

max, martin: what do you think about this?

I created a proposal, for how this could be fixed: http://docs/document/d/1ts465ST49BXSft8lsaQ2CxzJy_-4aa-vq23KOUTVvyI/edit#heading=h.1iob68izxmk8

The following revision refers to this bug:
  https://chromium.googlesource.com/chromium/src.git/+/029879a344b8766661b7ce935a6431e5b3922b95

commit 029879a344b8766661b7ce935a6431e5b3922b95
Author: dullweber <dullweber@chromium.org>
Date: Wed Jun 28 16:01:44 2017

Don't hide profile statistics counters with zero results

Currently the profile statistics counters are hidden if all of them
returned zero. This leads to an unstable, flickering UI. This Cl
changes them to always be visible to avoid this issue.

BUG= 735873 

Review-Url: https://codereview.chromium.org/2956873002
Cr-Commit-Position: refs/heads/master@{#483010}

[modify] https://crrev.com/029879a344b8766661b7ce935a6431e5b3922b95/ui/login/account_picker/md_user_pod_row.css
[modify] https://crrev.com/029879a344b8766661b7ce935a6431e5b3922b95/ui/login/account_picker/md_user_pod_row.js
[modify] https://crrev.com/029879a344b8766661b7ce935a6431e5b3922b95/ui/login/account_picker/user_pod_row.css
[modify] https://crrev.com/029879a344b8766661b7ce935a6431e5b3922b95/ui/login/account_picker/user_pod_row.js

The flickering is fixed by always showing the counters. I will land another CL that removes the total item count as well but that can reference the eng tracking bug.

Correction: Above issue is fixed on latest Dev version 61.0.3153.0

Correction: Above issue is fixed on latest Dev version 61.0.3153.4